12.) Four teams compete every February in the Beanpot Tournament: Northeastern University, Boston University, Boston College, and Harvard University. In the first round of the Beanpot, two games are played. The winners of those two games then face off in the final. (a) In how many different ways can the teams be matched up for the first round of the tournament? (b) Northeastern and Harvard have never met in the men's Beanpot final. If we assume all four teams are equally likely to make it to the final, what is the probability that, once again, Northeastern and Harvard will not face off in the final in 2023?
12.) Four teams compete every February in the Beanpot Tournament: Northeastern University, Boston University, Boston College, and Harvard University. In the first round of the Beanpot, two games are played. The winners of those two games then face off in the final. (a) In how many different ways can the teams be matched up for the first round of the tournament? (b) Northeastern and Harvard have never met in the men's Beanpot final. If we assume all four teams are equally likely to make it to the final, what is the probability that, once again, Northeastern and Harvard will not face off in the final in 2023?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 68CR
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12.) Four teams compete every February in the Beanpot Tournament: Northeastern University,
Boston University, Boston College, and Harvard University. In the first round of the Beanpot,
two games are played. The winners of those two games then face off in the final.
(a) In how many different ways can the teams be matched up for the first round of the
tournament?
(b) Northeastern and Harvard have never met in the men's Beanpot final. If we assume all four
teams are equally likely to make it to the final, what is the probability that, once again,
Northeastern and Harvard will not face off in the final in 2023?
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